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Exactly how I did it man
Answer: 2/5 Rhombus with sides 1 unit and angles 60, 120, 60, and 120 degrees.
Area of Rhombus: base * height where height = cos(30) and base = 1 cos(30)*1 = = sqrt(3)/2 * 1 = sqrt(3)/2
Area of Trapizoid: base * hight where height = cos(30) = sqrt(3)/2 base = 1 + sin(30) = 1 + .5 = 1.5
Area = 1.5 * sqrt(3)/2
Ratio of Rhombus / (rhombus + trapezoid) = sqrt(3)/2 / (sqrt(3)/2 + 1.5 * sqrt(3)/2) = 1/2.5 = 2/5
Basic common sense that rest of the options cannot be true since its so evident that blue part is less than half.
We can convert the red trapezoid into 3 blue triangle -the half of the blue rhombus- so we'll get a total of 30 blue size triangles
3 0 1 2 = 5 2
We can divide it into 30 congruent triangles, We can divide blue triangles into 6 congruent tiriangles, So fraction of blue triangle = 12/30 = 2/5
blue is 1, orange is 1.5 so blue is 6/15 or 2/5.
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There are 6 blue rhombuses and 6 red trapezoids. So, by symmetry and imagining these shapes split into congruent equilateral triangles, 2 out of every 5 triangles are blue.